# Partial silting objects and smashing subcategories

## TL;DR

This paper explores the structure of smashing subcategories in triangulated categories using silting theory, showing that in derived categories of dg modules over non-positive dg rings, such subcategories are generated by partial silting objects and admit silting t-structures.

## Contribution

It establishes a link between smashing subcategories and partial silting objects in derived categories of dg modules over non-positive dg rings, highlighting their generation and t-structure properties.

## Key findings

- Every compactly generated localising subcategory is generated by a partial silting object.
- Such smashing subcategories admit silting t-structures.
- The results apply specifically to derived categories of dg modules over non-positive dg rings.

## Abstract

We study smashing subcategories of a triangulated category with coproducts via silting theory. Our main result states that for derived categories of dg modules over a non-positive differential graded ring, every compactly generated localising subcategory is generated by a partial silting object. In particular, every such smashing subcategory admits a silting t-structure.